Integrate tan (x) with respect to x.
I = ∫ Tan (x) dx= ∫ (sin(x)) / (cos(x)) dx
We see that this is close to the standard integral ∫ F'(x) / F(x) dx = Ln (F(x)) + C
So first we must rewrite the Integral as: I = - ∫ (-sin(x)) / (cos(x)) dx (Taking minus one outside of the integral)
Now this is in the standard form and can be integrated;
I = - ∫ (-sin(x)) / (cos(x)) dx = - ln (cos (x)) + C
MH
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